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Finding the Fourth Proportional to 378,231.39, 521,951.85 and 208,465.52

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Solution

The fourth proportional to 378,231.39, 521,951.85 and 208,465.52 is: 287,678.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,231.39 : 521,951.85 = 208,465.52 : x
  2. Step 2: Convert to fraction form
    378,231.39/521,951.85 = 208,465.52/x
  3. Step 3: Cross multiply
    378,231.39x = 521,951.85 × 208,465.52
  4. Step 4: Simplify right side
    378,231.39x = 108,808,961,215.45
  5. Step 5: Solve for x
    x = 108,808,961,215.45/378,231.39
  6. Step 6: Final answer
    x = 287,678.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.